Question

Triangle M N L is shown. Angle M N L is a right angle. The length of N L is 15 and the length of hypotenuse M L is 25.
Given right triangle MNL, what is the value of cos(M)?

Three-fifths
Three-fourths
Four-fifths
Five-thirds

Answer 1

Answer:

4/5

Step-by-step explanation:

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Answer 2

The value of cos(M) is determined as Four-fifths (4/5).

Length of adjacent side of the right triangle

The length of the adjacent side of the right triangle is calculated as follows;

adj² = hyp² - opp²

adj² = 25² - 15²

adj² = 400

adj = √400

adj = 20

Value of cos(M)

Cos (M) = adj/hypo

Cos (M) = 20/25

Cos (M) = 4/5

Thus, the value of cos(M) is determined as Four-fifths (4/5).

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